2015/03/29 by Evgeniy Boyko, Shimon Rubin, Boyko, Evgeniy +5
Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Nanopore and Nanochannel Transport Studies #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1503.08435
Accepted to Physics of Fluids
openalex publication_date 2015/03/29 · arxiv created 2015/09/12 · arxiv updated 2015/09/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present an analytical study, validated by numerical simulations, of electroosmotic flow in a Hele-Shaw cell with non-uniform surface charge patterning. Applying the lubrication approximation and assuming thin electric double layer, we obtain a pair of uncoupled Poisson equations which relate the pressure and the stream function, respectively, to gradients in the zeta potential distribution parallel and perpendicular to the applied electric field. We solve the governing equations for the fundamental case of a disk with uniform zeta potential and show that the flow-field in the outer region takes the form of a pure dipole. We illustrate the ability to generate complex flow-fields around smooth convex regions by superposition of such disks with uniform zeta potential and a uniform pressure driven flow. This method may be useful for future on-chip devices, allowing flow control without the need for mechanical components.